Ulam stability problem for a mixed type of cubic and additive functional equation

被引:23
|
作者
Jun, Kil-Woung
Kim, Hark-Mahn
机构
[1] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea
[2] Cheongju Univ, Dept Math Educ, Cheongju 360764, South Korea
关键词
Hyers-Ulam stability; cubic mapping; Banach module;
D O I
10.36045/bbms/1148059462
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is the aim of this paper to obtain the generalized Hyers-Ulam stability result for a mixed type of cubic and additive functional equation [GRAPHICS] for all (x(1), ... ,x(l),x(l+1)) is an element of Xl+1, where l >= 2.
引用
收藏
页码:271 / 285
页数:15
相关论文
共 50 条
  • [1] Solution and Stability of a Mixed Type Additive, Quadratic, and Cubic Functional Equation
    M. Eshaghi Gordji
    S. Kaboli Gharetapeh
    J. M. Rassias
    S. Zolfaghari
    Advances in Difference Equations, 2009
  • [2] Solution and Stability of a Mixed Type Additive, Quadratic, and Cubic Functional Equation
    Gordji, M. Eshaghi
    Gharetapeh, S. Kaboli
    Rassias, J. M.
    Zolfaghari, S.
    ADVANCES IN DIFFERENCE EQUATIONS, 2009,
  • [3] Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation
    Gordji, Madjid Eshaghi
    Kamyar, Mahdie
    Khodaei, Hamid
    Shin, Dong Yun
    Park, Choonkil
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011, : 1 - 22
  • [4] Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation
    Madjid Eshaghi Gordji
    Mahdie Kamyar
    Hamid Khodaei
    Dong Yun Shin
    Choonkil Park
    Journal of Inequalities and Applications, 2011
  • [5] ON THE STABILITY FOR CUBIC FUNCTIONAL EQUATION OF MIXED TYPE
    Kim, Hark-Mahn
    Kang, Sheon-Young
    Chang, Ick-Soon
    DYNAMIC SYSTEMS AND APPLICATIONS, 2008, 17 (3-4): : 583 - 594
  • [6] On the Hyers-Ulam Stability of a General Mixed Additive and Cubic Functional Equation in n-Banach Spaces
    Xu, Tian Zhou
    Rassias, John Michael
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [7] STABILITY OF A MIXED TYPE ADDITIVE, QUADRATIC AND CUBIC FUNCTIONAL EQUATION IN RANDOM NORMED SPACES
    Gordji, Madjid Eshaghi
    Savadkouhi, Meysam Bavand
    FILOMAT, 2011, 25 (03) : 43 - 54
  • [8] Fixed points and the random stability of a mixed type cubic, quadratic and additive functional equation
    Gordji, M. Eshaghi
    Ghanifard, Masumeh
    Khodaei, Hamid
    Park, Choonkil
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (04) : 612 - 621
  • [9] ON THE HYERS-ULAM-RASSIAS STABILITY OF AN ADDITIVE-CUBIC-QUARTIC FUNCTIONAL EQUATION
    Lee, Yang-hi
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2019, 26 (04): : 247 - 254
  • [10] ON THE STABILITY OF A MIXED TYPE QUADRATIC AND CUBIC FUNCTIONAL EQUATION
    Lee, Chang-Ju
    Lee, Yang-Hi
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2012, 19 (04): : 383 - 396